1. in a way that shows you do not think you are better or more important than other people
2. in a way that does not attract attention; simply or plainly
3. to a small or limited degree; not extremely

Examples

• She modestly accepted the award without making a big speech.
• He modestly claimed that his success was due to luck.
• The family lived modestly in a small apartment.
• She dressed modestly for the job interview.
• The company’s profits increased modestly this quarter.
• The restaurant was modestly decorated but served excellent food.
• He modestly suggested that others deserved more credit than he did.